Cva. Kumar et al., CHAOTIC DYNAMICS OF PERIODICALLY FORCED SPHEROIDS IN SIMPLE SHEAR-FLOW WITH POTENTIAL APPLICATION TO PARTICLE SEPARATION, Rheologica Acta, 34(5), 1995, pp. 504-511
In this paper, we consider the technologically important problem of pe
riodically forced spheroids in simple shear flow and demonstrate the e
xistence of chaotic parametric regimes. The approach used by Strand (1
989) (for the Strong Brownian limit) is inappropriate in the chaotic r
egimes corresponding to the weak Brownian limit. Our results also indi
cate a strong dependence of the solutions obtained on the aspect ratio
of the spheroids. This strong dependence on the aspect ratio may be u
tilized to separate particles from a suspension of particles having di
fferent shapes but similar sizes.